New method for Ranking of Z-number

New method for Ranking of Z-number

Many practical applications, under the definitive evolutionary state of the nature, the consequences of the decisions, mental states of a decision maker are required. Thus, the need is for a new concept in the analysis of decision-making. Zadeh has introduced this concept as Z-number. A Z-number has two components (A, B). Initialy, A, is a value constraint with a real-valued uncertain variable, X, is allowed to take. The second component, Be, is a measure of reliability (certainty) which belongs the first component. Because the concept is relatively new Z-number in fuzzy sets, hence, its basic theoretical aspects are yet undetermined. This paper presented a method for rating and ranking Z-numbers for a set of Z-numbers. hence, we propose a new method for ranking fuzzy numbers based on that of Hyperbolic tangent function, the mean. Afterwards the proposed method is capable of rankings properties. Then, using the same technique we propose a method for ranking Z-numbers. Next, by the same technique we propose a method for ranking Z-numbers. This method consists three layers. The first layer is the gravity center in Part Be of the Z-numbers obtains. The second layer, the mean in Part A of the Z-numbers obtained. And the third one implies the Hyperbolic tangent function and the values obtained from the two mentioned layers rank which determines the Z-numbers. Our proposed method for ranking Z-numbers compared to some existing methods.

Many practical applications, under the definitive evolutionary state of the nature, the consequences of the decisions, mental states of a decision maker are required. Thus, the need is for a new concept in the analysis of decision-making. Zadeh has introduced this concept as Z-number. A Z-number has two components (A, B). Initialy, A, is a value constraint with a real-valued uncertain variable, X, is allowed to take. The second component, Be, is a measure of reliability (certainty) which belongs the first component. Because the concept is relatively new Z-number in fuzzy sets, hence, its basic theoretical aspects are yet undetermined. This paper presented a method for rating and ranking Z-numbers for a set of Z-numbers. hence, we propose a new method for ranking fuzzy numbers based on that of Hyperbolic tangent function, the mean. Afterwards the proposed method is capable of rankings properties. Then, using the same technique we propose a method for ranking Z-numbers. Next, by the same technique we propose a method for ranking Z-numbers. This method consists three layers. The first layer is the gravity center in Part Be of the Z-numbers obtains. The second layer, the mean in Part A of the Z-numbers obtained. And the third one implies the Hyperbolic tangent function and the values obtained from the two mentioned layers rank which determines the Z-numbers. Our proposed method for ranking Z-numbers compared to some existing methods.